Current Algebra of WZNW Models at and away from Criticality

Details Current Algebra of WZNW Models at and away from Criticality Current Algebra of WZNW Models at and away from Criticality

1992-03-28

arxiv.org/abs/hep-th/9203075v1

Mod. Phys. Lett. A7 (1992) 2437-2448

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

We derive the current algebra of principal chiral models with a Wess-Zumino term. At the critical coupling where the model becomes conformally invariant (Wess-Zumino-Novikov-Witten theory), this algebra reduces to two commuting Kac-Moody algebras, while in the limit where the coupling constant is taken to zero (ordinary chiral model), we recover the current algebra of that model. In this way, the latter is explicitly realized as a deformation of the former, with the coupling constant as the deformation parameter.

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